13177630464 has 144 divisors (see below), whose sum is σ = 35510510112. Its totient is φ = 4338008064.

The previous prime is 13177630463. The next prime is 13177630513. The reversal of 13177630464 is 46403677131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13177630463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35328582 + ... + 35328954.

Almost surely, 2^13177630464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13177630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755255056).

13177630464 is an abundant number, since it is smaller than the sum of its proper divisors (22332879648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13177630464 is a wasteful number, since it uses less digits than its factorization.

13177630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 13177630464 in words is "thirteen billion, one hundred seventy-seven million, six hundred thirty thousand, four hundred sixty-four".